Pith Number

pith:ONQ7FRWL

pith:2010:ONQ7FRWL67QKYO5MC6VRZPCY5R

not attested not anchored not stored refs pending

How to lose as little as possible

Herb Wilf, Stan Wagon, Vittorio Addona

arxiv:1002.1763 v2 · 2010-02-09 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONQ7FRWL67QKYO5MC6VRZPCY5R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:24:39.029094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7361f2c6cbf7e0ac3bac17ab1cbc58ec6bb70ea5230f38f4ac3e62c1d3c6a1f1

Aliases

arxiv: 1002.1763 · arxiv_version: 1002.1763v2 · doi: 10.48550/arxiv.1002.1763 · pith_short_12: ONQ7FRWL67QK · pith_short_16: ONQ7FRWL67QKYO5M · pith_short_8: ONQ7FRWL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ONQ7FRWL67QKYO5MC6VRZPCY5R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7361f2c6cbf7e0ac3bac17ab1cbc58ec6bb70ea5230f38f4ac3e62c1d3c6a1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36107a5edc21f23c457c830e4ff5134c8c122d9bdb767825c52a98098a992056",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-09T03:15:46Z",
    "title_canon_sha256": "84453e0960c15fd82303f4feaeba78331b6b09f309f5192d2d290a3dc9605f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1763",
    "kind": "arxiv",
    "version": 2
  }
}